OPEN NEWTON–COTES INEQUALITIES FOR CONVEX FUNCTIONS IN FRACTIONAL CALCULUS

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dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorHüseyin Budak
dc.contributor.authorChanon Promsakon
dc.date.accessioned2025-07-07T18:16:38Z
dc.date.available2025-07-07T18:16:38Z
dc.date.issued2025
dc.description.abstractWe establish error bounds for the open Newton–Cotes formula with n = 1 for differentiable convex functions in fractional calculus. We use for this purpose an integral identity, which we prove, having Riemann–Liouville fractional integral and ordinary derivative. We give applications for special means, and add an example to show the validity of inequalities with a graph for different values of fractional parameter α. © Rocky Mountain Mathematics Consortium.
dc.identifier.citationRocky Mountain Journal of Mathematics
dc.identifier.doi10.1216/rmj.2025.55.255
dc.identifier.issn357596
dc.identifier.scopus2-s2.0-105005882212
dc.identifier.urihttps://repository.dusit.ac.th/handle/123456789/7312
dc.languageEnglish
dc.publisherRocky Mountain Mathematics Consortium
dc.rights.holderScopus
dc.subjectconvex function
dc.subjectopen Newton–Cotes formula
dc.titleOPEN NEWTON–COTES INEQUALITIES FOR CONVEX FUNCTIONS IN FRACTIONAL CALCULUS
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-105005882212&doi=10.1216%2frmj.2025.55.255&partnerID=40&md5=70a39a509e7bb11c2e62efcd954004d4
oaire.citation.endPage263
oaire.citation.issue1
oaire.citation.startPage255
oaire.citation.volume55
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